61/102 added to 148/4 in Fraction Form

The result of 61/102 added to 148/4 is: 37 61/102

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 61102 and 1484.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 102 and 4 is 204.

Step 3: Convert Fractions to Equivalent Fractions

Convert 61102 to 122204
Convert 1484 to 7548204

Step 4: Add the Numerators

Add the numerators: 122 + 7548 = 7670

Step 5: Simplify the Fraction

We can simplify 7670204 to its lowest form.
The greatest common divisor (GCD) of 7670 and 204 is 2.
Dividing both numerator and denominator by the GCD, we get 3835102.

Step 6: Convert to Mixed Number

The fraction 3835102 can be written as the mixed number 3761102.

Final Answer

The result of 61/102 added to 148/4 is:

61102+1484=3761102

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

Fraction Calculator

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